Information on Result #1831873
OOA(2798, 9923, S27, 2, 28), using (u, u+v)-construction based on
- OOA(2719, 82, S27, 2, 14), using
- extracting embedded OOA [i] based on (5, 19, 82)-net in base 27, using
- 1 times m-reduction [i] based on (5, 20, 82)-net in base 27, using
- base change [i] based on digital (0, 15, 82)-net over F81, using
- net from sequence [i] based on digital (0, 81)-sequence over F81, using
- generalized Faure sequence [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F81 with g(F) = 0 and N(F) ≥ 82, using
- the rational function field F81(x) [i]
- Niederreiter sequence [i]
- net from sequence [i] based on digital (0, 81)-sequence over F81, using
- base change [i] based on digital (0, 15, 82)-net over F81, using
- 1 times m-reduction [i] based on (5, 20, 82)-net in base 27, using
- extracting embedded OOA [i] based on (5, 19, 82)-net in base 27, using
- linear OOA(2779, 9841, F27, 2, 28) (dual of [(9841, 2), 19603, 29]-NRT-code), using
- OOA 2-folding [i] based on linear OA(2779, 19682, F27, 28) (dual of [19682, 19603, 29]-code), using
- discarding factors / shortening the dual code based on linear OA(2779, 19683, F27, 28) (dual of [19683, 19604, 29]-code), using
- an extension Ce(27) of the primitive narrow-sense BCH-code C(I) with length 19682 = 273−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28 [i]
- discarding factors / shortening the dual code based on linear OA(2779, 19683, F27, 28) (dual of [19683, 19604, 29]-code), using
- OOA 2-folding [i] based on linear OA(2779, 19682, F27, 28) (dual of [19682, 19603, 29]-code), using
Mode: Constructive.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Other Results with Identical Parameters
None.
Depending Results
None.